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Finding the Third Proportional to 412,635 and 556,740

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Solution

The third proportional to 412,635 and 556,740 is: 751,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,635 : 556,740 = 556,740 : x
  2. Step 2: Convert to fraction form
    412,635/556,740 = 556,740/x
  3. Step 3: Cross multiply
    412,635x = 556,740 × 556,740
  4. Step 4: Simplify right side
    412,635x = 309,959,427,600
  5. Step 5: Solve for x
    x = 309,959,427,600/412,635
  6. Step 6: Final answer
    x = 751,170.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.